1. The problem is to express the decimal 0.625 as a fraction in its simplest form. 2. To convert a decimal to a fraction, write the decimal number over its place value. Since 0.625 has three decimal places, it can be written as \frac{625}{1000}. 3. Next, simplify the fraction by finding the greatest common divisor (GCD) of 625 and 1000. 4. The GCD of 625 and 1000 is 125. 5. Divide both numerator and denominator by 125: $$\frac{625 \div 125}{1000 \div 125} = \frac{5}{8}$$ 6. Therefore, the decimal 0.625 expressed as a fraction in simplest form is \frac{5}{8}.